Entanglement evolution of three-qubit mixed states in multipartite cavity-reservoir systems

TL;DR

This paper investigates how three-qubit mixed states evolve entanglement-wise in a multipartite cavity-reservoir system, revealing phenomena like entanglement sudden death and its relation to reservoir entanglement dynamics.

Contribution

It introduces a detailed analysis of entanglement dynamics for mixed three-qubit states in cavity-reservoir systems, highlighting monogamy constraints and the timing of entanglement sudden death.

Findings

Mixed states exhibit entanglement sudden death (ESD) in cavity photons.

ESD occurs later for mixed states compared to pure GHZ states.

Entanglement transfer between cavities and reservoirs is intrinsically linked.

Abstract

We analyze the multipartite entanglement evolution of three-qubit mixed states composed of a GHZ state and a W state. For a composite system consisting of three cavities interacting with independent reservoirs, it is shown that the entanglement evolution is restricted by a set of monogamy relations. Furthermore, as quantified by the negativity, the entanglement dynamical property of the mixed entangled state of cavity photons is investigated. It is found that the three cavity photons can exhibit the phenomenon of entanglement sudden death (ESD). However, compared with the evolution of a generalized three-qubit GHZ state which has the equal initial entanglement, the ESD time of mixed states is later than that of the pure state. Finally, we discuss the entanglement distribution in the multipartite system, and point out the intrinsic relation between the ESD of cavity photons and the entanglement sudden birth of reservoirs.